GCD of 680, 205, 934, 974 Calculator

Given Input numbers are 680, 205, 934, 974

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 680, 205, 934, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 205, 934, 974 is 1.

Therefore, GCD of numbers 680, 205, 934, 974 is 1

Given Input Data is 680, 205, 934, 974

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 205 is 5 x 41

Prime Factorization of 934 is 2 x 467

Prime Factorization of 974 is 2 x 487

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(680, 205) = 27880

GCD(680, 205) = ( 680 x 205 ) / 27880

GCD(680, 205) = 139400 / 27880

GCD(680, 205) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 934

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 934) = 4670

GCD(5, 934) = ( 5 x 934 ) / 4670

GCD(5, 934) = 4670 / 4670

GCD(5, 934) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 680, 205, 934, 974 is 1

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1. What is the GCD of 680, 205, 934, 974?

GCD of 680, 205, 934, 974 is 1

2. Where do I get the detailed procedure to find GCD of 680, 205, 934, 974?

You can find a detailed procedure to find GCD of 680, 205, 934, 974 on our page.

3. How to find GCD of 680, 205, 934, 974 on a calculator?

You can find the GCD of 680, 205, 934, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.